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Finding the Fourth Proportional to 98,409.60, 147,672.72 and 92,182.68

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Solution

The fourth proportional to 98,409.60, 147,672.72 and 92,182.68 is: 138,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,409.60 : 147,672.72 = 92,182.68 : x
  2. Step 2: Convert to fraction form
    98,409.60/147,672.72 = 92,182.68/x
  3. Step 3: Cross multiply
    98,409.60x = 147,672.72 × 92,182.68
  4. Step 4: Simplify right side
    98,409.60x = 13,612,867,092.49
  5. Step 5: Solve for x
    x = 13,612,867,092.49/98,409.60
  6. Step 6: Final answer
    x = 138,328.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.